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Finding the Third Proportional to 2,305,760 and 3,683,487

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Solution

The third proportional to 2,305,760 and 3,683,487 is: 5,884,427.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305,760 : 3,683,487 = 3,683,487 : x
  2. Step 2: Convert to fraction form
    2,305,760/3,683,487 = 3,683,487/x
  3. Step 3: Cross multiply
    2,305,760x = 3,683,487 × 3,683,487
  4. Step 4: Simplify right side
    2,305,760x = 13,568,076,479,169
  5. Step 5: Solve for x
    x = 13,568,076,479,169/2,305,760
  6. Step 6: Final answer
    x = 5,884,427.03

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.